He result of which expression will best estimate the actual product of (negative four-fifths) (three-fifths) (negative startfraction 6 over 7 endfraction) (five-sixths)? (negative 1) (one-fourth) (negative 1) (negative 1) (negative 1) (one-half) (negative 1) (1) (negative startfraction 4 over 2 endfraction) (three-halves) (negative two-fifths) (five-halves) (negative three-fourths) (negative three-fourths) (negative one-fifth) (one-half)
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Given : (-4/5)(3/5)(-6/7)(5/6)
To Find : The result of which expression will best estimate the actual product
(-1)(1/4)(-1)(-1)
(-1)(1/2)(-1)(1)
(-4/2)(3/2)(-2/5)(5/2)
(-3/4)(-3/4)(-1/5)(1/2)
Solution:
(-4/5)(3/5)(-6/7)(5/6)
= (-12/25)(-5/7)
= 12/35
(-1)(1/4)(-1)(-1) = -1/4
(-1)(1/2)(-1)(1) = 1/2
(-4/2)(3/2)(-2/5)(5/2)
=(-3)(-1)
= 3
(-3/4)(-3/4)(-1/5)(1/2)
= (9/16)(-1/10)
= -9/160
-1/4 & -9/160 are negatives
3 is > 1
12/35 < 1
Hence 1/2 is closest to 12/35 in given options
(-1)(1/2)(-1)(1) expression will best estimate the actual product of (-4/5)(3/5)(-6/7)(5/6) in given options
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The result of which expression will best estimate the actual product
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